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Simplifying 3w + 2 = 2w + 12 Reorder the terms: 2 + 3w = 2w + 12 Reorder the terms: 2 + 3w = 12 + 2w Solving 2 + 3w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 2 + 3w + -2w = 12 + 2w + -2w Combine like terms: 3w + -2w = 1w 2 + 1w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 2 + 1w = 12 + 0 2 + 1w = 12 Add '-2' to each side of the equation. 2 + -2 + 1w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1w = 12 + -2 1w = 12 + -2 Combine like terms: 12 + -2 = 10 1w = 10 Divide each side by '1'. w = 10 Simplifying w = 10
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